Problems

  • Recent Problems

    Draw three lines (not necessarily straight) so that each circle is connected to another circle with the same letter (that is, A to A, B to B, and C to shining C). The lines may not intersect one another, and they may not extend beyond the rectangle.
    Problems

    The number groups below are the last five digits of the fifth powers of the numbers 31 through 39. However, the groups aren't in the right order to represent the fifth powers of 31 through 39 sequentially. Using only these digits, and without using a calculator, can you place the groups in the correct order?

    35393       35424       29151
    24199   21875   35168
    54432   43957   66176

     

    Problems
    Grades: 6th to 8th, 3rd to 5th
    Expression/Equation
    Num & Ops Fractions
    Apply and extend previous understandings of arithmetic to algebraic expressions.
    Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
    5.NF.B.5a, 6.EE.A.1
    In the diagram at above, each "path" from top to bottom correctly spells the word MATCH.
    What is the total number of different
    paths in the diagram?
    Problems
    Assuming that the circumference of each circle below passes through the centers of the other two, and that the radius of each circle is 1, what is the total gray area?
    Problems
    Grades: 9th to 12th, 6th to 8th
    Geometry
    Geometric Measurement and Dimension
    Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
    7.G.B.4, HSG-GMD.A.1
    How many different triangles are there in the figure?
    Problems
    Grades: 3rd to 5th
    Geometry
    Classify two-dimensional figures into categories based on their properties.
    5.G.B.4
  • Connect with NCTM Illuminations

    Facebook icon Twitter icon YouTube icon Google+ icon Pinterest icon